Electric circuit is composed of three conducting rods 
, 
& 
as shown in figure. The resistance of the rods per unit length is known to be λ. The rod 
slides as shown in figure at a constant velocity v keeping it tilt angle relative to 
& 
fixed at 45°. At each resistance the circuit is closed. The whole system is embedded in a uniform magnetic field B, which is directed perpendicularly into the page. Then induced electric current is –
Text Solution
Verified by ExpertsD
Triangular area at time t
A(t) = 
= (vt) 2 Flux = φ φ (t) = A(t)B cos 0
0 φ φ (t) = (vt)
2 B
e = 
= – 2Bv 2 t
Length of perimeter of triangle = 2vt 
+ 2vt
= 2vt (1 + 
)
Electric resistance of circuit
R(t) = 2vt(1 + 
)λ
Current = 
= 
It is independent of time.
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